Does the camera angle matter when rendering a model or 3d animation for unity
In short, the camera viewpoint doesn't matter at all. What they're asking for is not an image. They're asking for the actual model.

You're thinking of sprites. Some games use sprites, which are individual images that are rendered for a certain number of viewpoints. The original StarCraft uses sprites for all the movable things.

Other games use actual 3D, which are animated in the game engine and can be viewed from any given perspective. StarCraft II and Fallout 4 use actual 3D instead of sprites.

Your thinking about "sending them the whole project" is on the right track, but they can't use the Blender file itself. They've asked for an FBX, which is a format for storing the whole 3D model, its textures, its UV maps, and some other things. It's a lot like an OBJ or PLY, if you're familiar with those. This will let them use the whole model in the game. 

In this case, the camera that will be viewing the model is not in Blender, it's in the game. So the camera in Blender doesn't matter... just make sure you don't include it in the export ;-)

You should also definitely check out the B.SE chat room: http://chat.stackexchange.com/rooms/8888/the-renderfarm

There are several folks there who are making games with Blender and might be able to help you with more specific questions that might not be appropriate for the actual site.

Have fun!